Mathematical Problems in Engineering
Volume 2007 (2007), Article ID 28262, 9 pages
Research Article

Quadratic Stabilization of LPV System by an LTI Controller Based on ILMI Algorithm

Wei Xie

College of Automation Science and Technology, South China University of Technology, Guangzhou 510641, China

Received 8 August 2006; Revised 23 February 2007; Accepted 25 May 2007

Academic Editor: José Manoel Balthazar

Copyright © 2007 Wei Xie. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A linear time-invariant (LTI) output feedback controller is designed for a linear parameter-varying (LPV) control system to achieve quadratic stability. The LPV system includes immeasurable dependent parameters that are assumed to vary in a polytopic space. To solve this control problem, a heuristic algorithm is proposed in the form of an iterative linear matrix inequality (ILMI) formulation. Furthermore, an effective method of setting an initial value of the ILMI algorithm is also proposed to increase the probability of getting an admissible solution for the controller design problem.